56970066366720 has 864 divisors, whose sum is σ = 213551603096832. Its totient is φ = 13939137773568.

The previous prime is 56970066366677. The next prime is 56970066366739. The reversal of 56970066366720 is 2766366007965.

It is a happy number.

56970066366720 is a `hidden beast` number, since 569 + 7 + 0 + 0 + 6 + 6 + 3 + 6 + 67 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32873666974 + ... + 32873668706.

It is an arithmetic number, because the mean of its divisors is an integer number (247166207288).

Almost surely, 2^{56970066366720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56970066366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106775801548416).

56970066366720 is an abundant number, since it is smaller than the sum of its proper divisors (156581536730112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56970066366720 is a wasteful number, since it uses less digits than its factorization.

56970066366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 56970066366720 in words is "fifty-six trillion, nine hundred seventy billion, sixty-six million, three hundred sixty-six thousand, seven hundred twenty".